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681383385064 = 231722375716927
BaseRepresentation
bin10011110101001011001…
…11010101011111101000
32102010202210001101001001
421322211213111133220
542130433121310224
61241005002404344
7100141213132144
oct11724547253750
92363683041031
10681383385064
11242a78180318
12b0081b006b4
134c33c574365
1424d9ca48224
1512ace9ed544
hex9ea59d57e8

681383385064 has 96 divisors (see below), whose sum is σ = 1418128980480. Its totient is φ = 306286396416.

The previous prime is 681383385061. The next prime is 681383385071. The reversal of 681383385064 is 460583383186.

It is a super-3 number, since 3×6813833850643 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681383384996 and 681383385014.

It is not an unprimeable number, because it can be changed into a prime (681383385061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40245769 + ... + 40262695.

It is an arithmetic number, because the mean of its divisors is an integer number (14772176880).

Almost surely, 2681383385064 is an apocalyptic number.

It is an amenable number.

681383385064 is an abundant number, since it is smaller than the sum of its proper divisors (736745595416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

681383385064 is a wasteful number, since it uses less digits than its factorization.

681383385064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17747 (or 17726 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 681383385064 in words is "six hundred eighty-one billion, three hundred eighty-three million, three hundred eighty-five thousand, sixty-four".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 289 391 578 757 782 1156 1514 1564 2312 3028 3128 6056 6647 12869 13294 16927 17411 25738 26588 33854 34822 51476 53176 67708 69644 102952 135416 139288 218773 287759 295987 389321 437546 575518 591974 778642 875092 1151036 1183948 1557284 1750184 2302072 2367896 3114568 4891903 5031779 6618457 9783806 10063558 12813739 13236914 19567612 20127116 25627478 26473828 39135224 40254232 51254956 52947656 102509912 112513769 217833563 225027538 294715997 435667126 450055076 589431994 871334252 900110152 1178863988 1742668504 2357727976 3703170571 5010171949 7406341142 10020343898 14812682284 20040687796 29625364568 40081375592 85172923133 170345846266 340691692532 681383385064